Abstract
Prime submodules and weakly prime submodules of Artinian modules are characterized. Furthermore, some previous results on prime modules are generalized.
Citation
A. Azizi. "PRIME SUBMODULES OF ARTINIAN MODULES." Taiwanese J. Math. 13 (6B) 2011 - 2020, 2009. https://doi.org/10.11650/twjm/1500405654
Information
Published: 2009
First available in Project Euclid: 18 July 2017
zbMATH: 1213.13028
MathSciNet: MR2583534
Digital Object Identifier: 10.11650/twjm/1500405654
Subjects:
Primary:
13C13
,
13C99
,
13E05
,
13F05
,
13F15
Keywords:
catenary modules
,
dimension of modules
,
multiplication modules
,
prime submodules
,
reduced dimension of modules
,
weakly prime submodules
Rights: Copyright © 2009 The Mathematical Society of the Republic of China